Dictionary of Vedic Mathematical Terms

Few mathematics and Sanskrit scholars of the Calcutta University have created a unique dictionary of the mathematical terms in the Vedas. It is the first Sanskrit to English dictionary on mathematical terms. The four scholars who worked with the investigators on the project are Rajib Chakraborty, Rina Dutta, Bulbul Chakraborty and Subrata Mondal. The Rashtriya Sanskrit Sansthan, a wing of the ministry of human resources development, gave the project to these scholars.

All branches of mathematics are well represented in the Vedas, Aranyakas, Brahminical literature, Upanishads, Panini's Ashtadhyayi and Yaska's Nirukto, the dictionary explains. It goes on to prove that most solutions that can be arrived through algebra, geometry and trigonometry have Sanskrit roots. Thus, what the world knows as Pythagoras' theorem existed in the Sulbasutras provided in the manuscripts of Boudhayan, Apostombo, Manaba and Katyayan. A large number of formulae developed thousands of years ago, which lead to the same assumption as modern theorems, have been provided in the dictionary, with their places of occurrence in Indian punthis.
"Take the case of Euclid's concepts, on which modern geometry is based. You will find that all of today's geometric shapes and angles were present in the way the yajnabedis or the holy sacrificial fires were erected. Each design had a typical astronomical or cosmic meaning to it and a specific purpose for which the yajna was to be conducted," explained Banerjee, who is also the former vice-president of Asiatic Society. The dictionary is replete with the designs of these yajnabedis and go on to explain their modern geometrical equivalents. The additional benefit is that the ancient custom and belief system surrounding these bedis have also been explained in the dictionary. It says that the origin of most of these designs can be found in Vedanga Jyotish of 12th century BC.
Similarly, what the world associates with trigonometry today can be found in the ancient Indian texts. Take one of the most common formulae in Trigonometry - sin 2A = 2 sin A cos A. The dictionary explains that you can find such formulae that are used to measure area or height in the manuscripts of not one but several scholars of ancient India. The term jyotpotti (trigonometry) and the integral formulae therein can be traced back to Aryabhatta in his Siddhantasiromani, in the 12th century manuscripts of Bhaskaracharya II, in the 7th century Brahmasputasiddhanta of Brahma Gupta and in the 16th century Siddhantatattobibek of Kamalakar, the dictionary says.